Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

398×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	13	9
2	34	9
3	77	9
4	114	9
5	121	9
6	138	9
7	182	9
8	307	9
9	723	9
10	2253	9
done	5001	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x x) (- 3.0 (* x 2.0)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `prod-diff` `add-cbrt-cube`
5×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in`
4×	`add-cube-cbrt` `*-un-lft-identity`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `associate-l` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 33

Calls

1 calls:

18.0ms

(* (* x x) (- 3.0 (* x 2.0)))

series79.0ms

Counts

1 → 3

Calls

1 calls:

78.0ms

(* (* x x) (- 3.0 (* x 2.0)))

simplify2.7s

Counts

36 → 36

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	77	533
1	209	518
2	845	442
3	3756	421
done	5001	415

prune55.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- 3.0 (* x 2.0)))
0.1b	(* x (* x (- 3.0 (* x 2.0))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

25×	`distribute-rgt-in` `distribute-lft-in`
18×	`prod-diff`
13×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`sub-neg` `associate-r/` `associate-l*`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 74

Calls

2 calls:

8.0ms	(* x (- 3.0 (* x 2.0)))
13.0ms	(* x (* x (- 3.0 (* x 2.0))))

series149.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(* x (- 3.0 (* x 2.0)))
77.0ms	(* x (* x (- 3.0 (* x 2.0))))

simplify1.8s

Counts

80 → 80

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	117	1119
1	249	1105
2	740	949
3	3025	899
done	5000	881

prune103.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 2.0 (pow x 3))
0.0b	(+ (* 3.0 (pow x 2)) (- (* 2.0 (pow x 3))))
0.2b	(* 3.0 (pow x 2))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
20×	`associate-r`
13×	`add-exp-log`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down` `unswap-sqr`
7×	`add-cbrt-cube` `add-log-exp`
6×	`associate-l` `prod-exp`
4×	`cube-prod` `sqr-pow`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`pow-to-exp` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod` `unpow2`
1×	`+-commutative` `neg-sub0` `cube-mult` `associate-+r-` `fma-def` `flip3-+` `unpow3` `unsub-neg` `neg-log` `flip-+`

Counts

3 → 80

Calls

3 calls:

7.0ms	(* 2.0 (pow x 3))
4.0ms	(+ (* 3.0 (pow x 2)) (- (* 2.0 (pow x 3))))
6.0ms	(* 3.0 (pow x 2))

series164.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* 2.0 (pow x 3))
101.0ms	(+ (* 3.0 (pow x 2)) (- (* 2.0 (pow x 3))))
26.0ms	(* 3.0 (pow x 2))

simplify867.0ms

Counts

89 → 89

Iterations

Useful iterations: done (865.0ms)

Iter	Nodes	Cost
0	128	835
1	307	733
2	1027	656
done	5001	622

prune171.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (- (pow 3.0 3) (pow (* x 2.0) 3)))
0.0b	(+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))
0.2b	(* x (* x (- (pow 3.0 3) (pow (* x 2.0) 3))))
5.0b	(/ (* x (* x (- (pow 3.0 3) (pow (* x 2.0) 3)))) (+ (* 3.0 3.0) (+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))))

rewrite409.0ms

Algorithm

rewrite-expression-head

Rules

576×	`prod-diff`
490×	`distribute-rgt-in` `distribute-lft-in`
237×	`add-sqr-sqrt`
227×	`*-un-lft-identity`
225×	`add-cube-cbrt`
218×	`unpow-prod-down` `cube-prod`
126×	`sqr-pow`
120×	`cube-mult` `unpow3`
20×	`add-exp-log` `add-cbrt-cube`
14×	`associate-r`
11×	`pow1`
10×	`associate-*r/`
8×	`difference-of-squares`
7×	`prod-exp` `cbrt-unprod`
6×	`sub-neg` `associate-l` `add-log-exp`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u`
3×	`cbrt-undiv` `flip3--` `times-frac` `div-exp` `associate-/r*` `flip--`
2×	`flip3-+` `associate-/r/` `*-commutative` `flip-+` `associate-/l/`
1×	`difference-cubes` `+-commutative` `distribute-rgt-out` `fma-def` `frac-2neg` `clear-num` `sum-log` `div-inv` `associate-/l*` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 686

Calls

4 calls:

58.0ms	(* x (- (pow 3.0 3) (pow (* x 2.0) 3)))
10.0ms	(+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))
90.0ms	(* x (* x (- (pow 3.0 3) (pow (* x 2.0) 3))))
202.0ms	(/ (* x (* x (- (pow 3.0 3) (pow (* x 2.0) 3)))) (+ (* 3.0 3.0) (+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))))

series595.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* x (- (pow 3.0 3) (pow (* x 2.0) 3)))
77.0ms	(+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))
143.0ms	(* x (* x (- (pow 3.0 3) (pow (* x 2.0) 3))))
243.0ms	(/ (* x (* x (- (pow 3.0 3) (pow (* x 2.0) 3)))) (+ (* 3.0 3.0) (+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))))

simplify2.1s

Counts

698 → 698

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	717	32432
1	1323	19382
2	3744	17906
done	5001	17330

prune349.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	10	9
done	10	9

end0.0ms

sample339.0ms

Algorithm

intervals

Results

220.0ms

12123×

body

valid